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  which do reveal certain patterns
Perceived patterns. If an actual pattern was known, you could generate prime numbers from the pattern. No such pattern is known to exist.


It's probabilistic, but there are patterns (lines with significantly greater prime densities than others).


There are TONS of patterns in the primes.


Name me a pattern that, from the primes below 100, can be used to extrapolate, with certainty, the first prime above 100.


That's an awfully restrictive definition of "pattern." For what it's worth, I'd say that more mathematics has been devoted to the study of patterns in the primes than to any other single topic.




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